{"id":"https://openalex.org/W2054944142","doi":"https://doi.org/10.1007/s00454-010-9251-6","title":"The Banach\u2013Mazur Distance to the Cube in Low Dimensions","display_name":"The Banach\u2013Mazur Distance to the Cube in Low Dimensions","publication_year":2010,"publication_date":"2010-02-17","ids":{"openalex":"https://openalex.org/W2054944142","doi":"https://doi.org/10.1007/s00454-010-9251-6","mag":"2054944142"},"language":"en","primary_location":{"id":"doi:10.1007/s00454-010-9251-6","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s00454-010-9251-6","pdf_url":"https://link.springer.com/content/pdf/10.1007/s00454-010-9251-6.pdf","source":{"id":"https://openalex.org/S103671469","display_name":"Discrete & Computational Geometry","issn_l":"0179-5376","issn":["0179-5376","1432-0444"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Discrete &amp; Computational Geometry","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"bronze","oa_url":"https://link.springer.com/content/pdf/10.1007/s00454-010-9251-6.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5015551736","display_name":"Steven Taschuk","orcid":null},"institutions":[{"id":"https://openalex.org/I154425047","display_name":"University of Alberta","ror":"https://ror.org/0160cpw27","country_code":"CA","type":"education","lineage":["https://openalex.org/I154425047"]}],"countries":["CA"],"is_corresponding":true,"raw_author_name":"Steven Taschuk","raw_affiliation_strings":["CAB 632, University of Alberta, Edmonton, AB, T6G 2R3, Canada","CAB 632, University of Alberta, Edmonton, Canada T6G 2R3#TAB#"],"affiliations":[{"raw_affiliation_string":"CAB 632, University of Alberta, Edmonton, AB, T6G 2R3, Canada","institution_ids":["https://openalex.org/I154425047"]},{"raw_affiliation_string":"CAB 632, University of Alberta, Edmonton, Canada T6G 2R3#TAB#","institution_ids":["https://openalex.org/I154425047"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5015551736"],"corresponding_institution_ids":["https://openalex.org/I154425047"],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":0.8225,"has_fulltext":true,"cited_by_count":4,"citation_normalized_percentile":{"value":0.70071114,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":96},"biblio":{"volume":"46","issue":"1","first_page":"175","last_page":"183"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11830","display_name":"Point processes and geometric inequalities","score":0.9973999857902527,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11830","display_name":"Point processes and geometric inequalities","score":0.9973999857902527,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12404","display_name":"Mathematical Approximation and Integration","score":0.9965999722480774,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10229","display_name":"Geometric Analysis and Curvature Flows","score":0.979200005531311,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8210455179214478},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.7733139991760254},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.6580654382705688},{"id":"https://openalex.org/keywords/convex-body","display_name":"Convex body","score":0.635461688041687},{"id":"https://openalex.org/keywords/cube","display_name":"Cube (algebra)","score":0.5890846848487854},{"id":"https://openalex.org/keywords/banach-space","display_name":"Banach space","score":0.5883535742759705},{"id":"https://openalex.org/keywords/identity","display_name":"Identity (music)","score":0.4651905596256256},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.33751267194747925},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.14021113514900208},{"id":"https://openalex.org/keywords/convex-optimization","display_name":"Convex optimization","score":0.12071961164474487}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8210455179214478},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.7733139991760254},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.6580654382705688},{"id":"https://openalex.org/C134912446","wikidata":"https://www.wikidata.org/wiki/Q5166516","display_name":"Convex body","level":4,"score":0.635461688041687},{"id":"https://openalex.org/C53051483","wikidata":"https://www.wikidata.org/wiki/Q861555","display_name":"Cube (algebra)","level":2,"score":0.5890846848487854},{"id":"https://openalex.org/C132954091","wikidata":"https://www.wikidata.org/wiki/Q194397","display_name":"Banach space","level":2,"score":0.5883535742759705},{"id":"https://openalex.org/C2778355321","wikidata":"https://www.wikidata.org/wiki/Q17079427","display_name":"Identity (music)","level":2,"score":0.4651905596256256},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.33751267194747925},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.14021113514900208},{"id":"https://openalex.org/C157972887","wikidata":"https://www.wikidata.org/wiki/Q463359","display_name":"Convex optimization","level":3,"score":0.12071961164474487},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s00454-010-9251-6","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s00454-010-9251-6","pdf_url":"https://link.springer.com/content/pdf/10.1007/s00454-010-9251-6.pdf","source":{"id":"https://openalex.org/S103671469","display_name":"Discrete & Computational Geometry","issn_l":"0179-5376","issn":["0179-5376","1432-0444"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Discrete &amp; Computational Geometry","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.1007/s00454-010-9251-6","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s00454-010-9251-6","pdf_url":"https://link.springer.com/content/pdf/10.1007/s00454-010-9251-6.pdf","source":{"id":"https://openalex.org/S103671469","display_name":"Discrete & Computational Geometry","issn_l":"0179-5376","issn":["0179-5376","1432-0444"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Discrete &amp; Computational Geometry","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320334593","display_name":"Natural Sciences and Engineering Research Council of Canada","ror":"https://ror.org/01h531d29"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2054944142.pdf","grobid_xml":"https://content.openalex.org/works/W2054944142.grobid-xml"},"referenced_works_count":19,"referenced_works":["https://openalex.org/W59575022","https://openalex.org/W107633620","https://openalex.org/W152780285","https://openalex.org/W187211397","https://openalex.org/W1492649312","https://openalex.org/W1527378096","https://openalex.org/W1539416424","https://openalex.org/W1539609250","https://openalex.org/W1553598118","https://openalex.org/W1852018633","https://openalex.org/W2002139129","https://openalex.org/W2006686620","https://openalex.org/W2071842447","https://openalex.org/W2094235750","https://openalex.org/W2315557445","https://openalex.org/W2488280448","https://openalex.org/W2531180832","https://openalex.org/W4213328390","https://openalex.org/W4241014687"],"related_works":["https://openalex.org/W2341883566","https://openalex.org/W2367641551","https://openalex.org/W2010057865","https://openalex.org/W4301271320","https://openalex.org/W2952186610","https://openalex.org/W3040162855","https://openalex.org/W2481151534","https://openalex.org/W2363028408","https://openalex.org/W2392736212","https://openalex.org/W2063036314"],"abstract_inverted_index":null,"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2013,"cited_by_count":2}],"updated_date":"2026-04-21T08:09:41.155169","created_date":"2025-10-10T00:00:00"}
